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It can look dumb, but I always had this question as a kid, what physical principles would prevent this?
Nah, I prefer using quantum spookiness for that. Send a steady stream of entangled particles to the other person on the moon first. Any time you do something to the particles on Earth, the ones on the Moon are affected also. The catch is that this disentangles them, so you have only a few limited uses. This is why you want a constant stream of them being entangled.
You also cannot choose the spins of entangled particles, they collapse randomly in either direction when interacted with, meaning you cannot send messages. If you can figure out how to directly influence the spin of generated subatomic particles then BAM you have FTL communication.
But you would be amazed how many obstacles the universe throws in front of you when you try to break the speed of causality. Faster than light communication isn't possible because it makes no sense when you understand it. It's like "getting answers faster than questions." It's nonsense.
Wouldn't that still be normal light speed communication from earth to two places on the moon, not FTL communication between two places on the moon?
Because you put the apostrophe in the wrong place?
Perfectly rigid sticks don't exist.
This wouldn't work because the moon is more than 300k km away :P
If you're openminded enough to listen to those who disagree with the standard model,
take an elastic band and turn one end. Instead of the band turning, you'll have a twist in your band
and it takes time to unravel the twist if you let go on the other end.
That's what will happen to the stick and this travels at lightspeed,
because this is how light works. Light works like 'the stick' in your example.
And if you try turning it faster the 'elastic band'/stick/'atom on the other end' starts breaking.
If you need FTL communication, then use gravity..somehow.
Probably quantum entanglement, which we (and certainly I) donβt fully understand yet
You're gonna want a powerful laser probably and ain't no stick that big like not even fkn close not even if we tried so that's why would'nt tbqh
The issue is, that kind of stick wouldn't even exist. You'd have better luck with between some dwarf planet and its satellite, since the stick would break under its mere weight.